Laterals vs Hips: which would give me the best outcome for curves and flatter stomach? (Photo)

Thank you  for your awesome question! Your bio is very helpful, however without the benefit of knowing your full health history and an in person exam it's impossible to say for certain. 
I perform many BBL plastic surgeries on patients from all over the country.  I would recommend you have an in person consultation with a plastic surgeon with these credentials: *Board Certified by the American Board of Plastic Surgery -- The gold star symbol
*A member of the ASPS (American Society of Plastic Surgeons) -- The circle symbol
*A member of the ASAPS (American Society of Aesthetic Plastic Surgeons) -- the Queen Nefertitti symbol with a Triangle  *On faculty at local plastic surgery teaching program -- affiliated with both Duke and UNC schools of plastic surgery.  I hope this is helpful and wish you all the best in your journey.  My sincere best, Brian S. Coan, MD, FACS

I would have to see other views. It may involved both a slight reduction not he lateral thighs and augmentation with fat along the hips to round that out really nicely!